On the Critical Behavior of Gapped Gravitational Collapse in Confined Spacetime
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摘要:
The gravitational collapse of a massless scalar field enclosed with a perfectly reflecting wall in a spacetime with a cosmological constant A is investigated.The mass scaling for the gapped collapse MAH-Mg∝ (ec-e)ξ is confirmed and a new time scaling for the gapped collapse TAH-Tg ∝ (∈c-∈)ξ is found.For both the critical exponents,we find strong evidence to show that they are non-universal.Especially when A ≠ 0,we find that both of these two critical exponents depend on the combination AR2,where R is the radial position of the reflecting wall.We find an evolution of the critical exponent ξ from 0.37 in the confined asymptotic dS case with AR2-1.75 to 0.68 in the confined asymptotic AdS case with AR2 =-1.75,while the critical exponent ξ varies from 0.10 to 0.26,which shows that the new critical behavior for the gapped collapse is essentially different from the Choptuik's case.